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Finding the Third Proportional to 4,978 and 8,099

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Solution

The third proportional to 4,978 and 8,099 is: 13,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 8,099 = 8,099 : x
  2. Step 2: Convert to fraction form
    4,978/8,099 = 8,099/x
  3. Step 3: Cross multiply
    4,978x = 8,099 × 8,099
  4. Step 4: Simplify right side
    4,978x = 65,593,801
  5. Step 5: Solve for x
    x = 65,593,801/4,978
  6. Step 6: Final answer
    x = 13,176.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.